'continuously-visible' is a compound formed from 'continuously' + 'visible'. 'Continuously' is formed from 'continuous' + the adverbial suffix '-ly'; 'continuous' originates from Latin 'continuus' meaning 'unbroken, uninterrupted'. 'Visible' originates from Latin 'videre' (to see) via Late Latin 'vidibilis' and Old French 'visible'.

'continuous' came into English from Latin 'continuus' (via Old French/Medieval Latin) and developed in Middle English as 'continuous'; the adverbial form 'continuously' formed by adding the Old English/Old Norse-influenced adverbial suffix '-ly' to the adjective. 'Visible' evolved from Latin 'videre' → Late Latin 'vidibilis' → Old French 'visible' → Middle English 'visible'. The modern compound 'continuously-visible' is a descriptive formation combining these elements in modern English.

Initially, the roots meant 'to hold together' or 'to see'; over time the components kept their basic senses (unbroken and able to be seen). The compound now specifically conveys 'able to be seen without interruption', a straightforward combination of the component meanings.